WeBWorK Tutorial
15
pages
English
Documents
Le téléchargement nécessite un accès à la bibliothèque YouScribe Tout savoir sur nos offres
15
pages
English
Documents
Le téléchargement nécessite un accès à la bibliothèque YouScribe Tout savoir sur nos offres
WeBWorK Tutorial
Michael Gage
March 2007
Contents
1 The Goal 2
1.1 It increases the effectiveness of traditional homework . . . . . . 2
1.2 Its the efficiency of traditional homework by: . . . . . . 2
1.3 Key features: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2 The WeBWorK roles: 3
2.1 Administrator: . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.2 Instructor: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.3 Student: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.4 Homework problem author . . . . . . . . . . . . . . . . . . . . . 3
2.5 Tutorial plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3 Testimonials 4
4 Tutorial 5
4.1 Login as a student: . . . . . . . . . . . . . . . . . . . . . . . . . . 5
4.1.1 Problem 1 - example of equation and numerical answers . 5
4.1.2 Problem 2 - graph example . . . . . . . . . . . . . . . . . 5
4.2 Login as instructor . . . . . . . . . . . . . . . . . . . . . . . . . . 6
4.2.1 Problem 3 - adaptive equation answers . . . . . . . . . . . 6
4.2.2 Problem 1 again – view code . . . . . . . . . . . . . . . . 6
4.2.3 Problem 4 -answers with units . . . . . . . . . . . . . . . 8
4.2.4 Problem 5 - graph problems . . . . . . . . . . . . . . . . . 8
4.2.5 Problem 6 - interactive problem using javaScript . . . . . 8
4.2.6 Problem 7 - ine problem using LiteApplet . . . . 8
4.2.7 Problem 9 - uses a java applet to display 3D images . . . 8
4.2.8 Problem 8 - a problem ...
Voir
Michael Gage
March 2007
Contents
1 The Goal 2
1.1 It increases the effectiveness of traditional homework . . . . . . 2
1.2 Its the efficiency of traditional homework by: . . . . . . 2
1.3 Key features: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2 The WeBWorK roles: 3
2.1 Administrator: . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.2 Instructor: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.3 Student: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.4 Homework problem author . . . . . . . . . . . . . . . . . . . . . 3
2.5 Tutorial plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3 Testimonials 4
4 Tutorial 5
4.1 Login as a student: . . . . . . . . . . . . . . . . . . . . . . . . . . 5
4.1.1 Problem 1 - example of equation and numerical answers . 5
4.1.2 Problem 2 - graph example . . . . . . . . . . . . . . . . . 5
4.2 Login as instructor . . . . . . . . . . . . . . . . . . . . . . . . . . 6
4.2.1 Problem 3 - adaptive equation answers . . . . . . . . . . . 6
4.2.2 Problem 1 again – view code . . . . . . . . . . . . . . . . 6
4.2.3 Problem 4 -answers with units . . . . . . . . . . . . . . . 8
4.2.4 Problem 5 - graph problems . . . . . . . . . . . . . . . . . 8
4.2.5 Problem 6 - interactive problem using javaScript . . . . . 8
4.2.6 Problem 7 - ine problem using LiteApplet . . . . 8
4.2.7 Problem 9 - uses a java applet to display 3D images . . . 8
4.2.8 Problem 8 - a problem ...
WeBWorK Tutorial Michael Gage March 2007
Contents 1 The Goal 1.1 It increases the effectiveness of traditional homework . . . . . . 1.2 It increases the efficiency of traditional homework by: . . . . . . 1.3 Key features: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 The WeBWorK roles: 2.1 Administrator: . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Instructor: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3 Student: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.4 Homework problem author . . . . . . . . . . . . . . . . . . . . . 2.5 Tutorial plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Testimonials 4 Tutorial 4.1 Login as a student: . . . . . . . . . . . . . . . . . . . . . . . . . . 4.1.1 Problem 1 - example of equation and numerical answers . 4.1.2 Problem 2 - graph example . . . . . . . . . . . . . . . . . 4.2 Login as instructor . . . . . . . . . . . . . . . . . . . . . . . . . . 4.2.1 Problem 3 - adaptive equation answers . . . . . . . . . . . 4.2.2 Problem 1 again – view code . . . . . . . . . . . . . . . . 4.2.3 Problem 4 -answers with units . . . . . . . . . . . . . . . 4.2.4 Problem 5 - graph problems . . . . . . . . . . . . . . . . . 4.2.5 Problem 6 - interactive problem using javaScript . . . . . 4.2.6 Problem 7 - interactive problem using LiteApplet . . . . 4.2.7 Problem 9 - uses a java applet to display 3D images . . . 4.2.8 Problem 8 - a problem we’ll delete . . . . . . . . . . . . . 4.2.9 Add a student to the course. . . . . . . . . . . . . . . . . 4.2.10 Change a student to an instructor . . . . . . . . . . . . .
1
2 2 2 2 3 3 3 3 3 3 4 5 5 5 5 6 6 6 8 8 8 8 8 10 11 11
4.2.11 Add many students . . . . . . . . . . . . . . . . . . . . . 12 4.2.12 Import a homework set . . . . . . . . . . . . . . . . . . . 12 4.2.13 Assign the “Introduction” set to the practice users . . . . 13 4.2.14 Create a new empty homework set . . . . . . . . . . . . . 13 4.2.15 Use library browser to add problems . . . . . . . . . . . . 13 4.3 Other ideas for practice . . . . . . . . . . . . . . . . . . . . . . . 14 5 Timeline 15 6 WeBWorK Team 15 WeBWorK Workshop and Tutorial
1 The Goal Make homework more effective and efficient and promote active learning by students. 1.1 It increases the effectiveness of traditional homework 1. Providing students with immediate feedback on the validity of their an-swers and giving students the opportunity to correct mistakes while they are still thinking about the problem. As one student said, “I can fix my mistakes while [the] problem is fresh in my mind.” 2. Providing students with individualized versions of problems which means that instructors can encourage students to work together; yet each student must develop an answer to his or her own version of the problem. 1.2 It increases the efficiency of traditional homework by: 1. Providing automatic grading of assignments. 2. Providing information on the performance of individual students and the course (or section or recitation) as a whole. 1.3 Key features: 1. Using WeBWorK, instructors can ask most questions typically found in mathematics and other scientific textbooks as well as more advanced in-teractive questions. 2. Students persist with WeBWorK. At Rochester we find almost all students complete each homework set until most problems are correct.
2
2 The WeBWorK roles: 2.1 Administrator: • creates courses 2.2 Instructor: manages courses • Enrolls students in the course • Creates homework sets and assigns them to students • May view student progress in answering questions 2.3 Student: • Answers questions in the homework sets • Answers for each problem are automatically checked and the grade recorded. • Usually students are allowed to correct any mistakes in their homework problem – the instructor can impose a limit on how many times a home-work problem can be corrected. • At Rochester we have been using the model of homework, where feedback and correction However, this “gateway quiz” model is also available in a “beta version” in WeBWorK and is being used at the University of Michigan and several other institutions. 2.4 Homework problem author The instructors may create their own problems or they may choose problems from the problem library. There is already a large collection of problems for calculus, pre-calculus, linear algebra, differential equations and some probability and statistics. We plan to create and curate an even wider selection of problems for the MAA digital library site. 2.5 Tutorial plan We will practice using WeBWorK as a student and then add homework sets to a course as an instructor. If there is time we will look briefly at how new homework problems are created.
3
3 Testimonials The educational advantages of immediate feedback are emphasised repeatedly by both instructors and students • “I can fix my mistakes while the problem is fresh in my mind.” • “WebWork is the only way that I can push myself to really do something about the homework.” • “ I don’t have to wait for lecture to see if I’m doing it right.” • “ It makes you want to redo it; after finding an answer, you feel accom-plished, immediate feedback makes sure you have accomplished something. ” • “Our analysis shows that nearly all Rochester students complete each homework set until most problems are correct.” • “The Calculus classes went very well. I cant get over how important the e-mail the instructor button is.” • a Rutgers study found the “correlation between attempts and percentage of problems solved was a remarkable .944 suggesting that once students be-gan a problem they persisted until they had solved it” (Hirsch and Weibel, 2003) • A three-part study at Virginia and Rochester reveals that WeBWorK “spawned noticeable changes in persistence and determination when it came to work-ing through assignments” (Davison, 2004). Testimonials about WeBWorK from instructors: WeBWorK seems to cause students to work harder on their homework and it also encourages them to work together more closely than they would otherwise. It is most gratifying to walk through our study center and see groups of eager and animated students discussing the meaning of variables, equations, functions, derivatives, and integrals. Since WeBWorK has an easy and e mechanism it also encourages and intensifies interaction of the students with their instructor. Peter Alfeld, University of Utah It is so valuable to center a mathematics course around students solving problems, instead of around students watching the instructor solve problems. One learns math only by doing it. Without instant grading of math homework, even if students do math homework assignments, they do not know if they have done them correctly. Being told immediately that their answer is wrong is a strong motivation for students to keep working on a problem. Engaging students to stick with a problem until they get it right is an extremely powerful strategy for good learning. The Rutgers study of WeBWorKs impact demonstrated this claim in spades. Alan Tucker, SUNY-Stony Brook
4
The WeBWorK project not only provides an extremely useful pedagogical tool, but as an open source project is not bound to one textbook or publisher, and so embodies the flexibility to be tailored to each adopters needs. No com-mercial product can o products which have similar capabilities, but they in-evitably pale by comparison. Tom Shemanske, Dartmouth [We] have found WeBWorK to be a valuable support for courses in our undergraduate mathematics program. The response to the introduction of the homework is almost universal ly positive, both from students and faculty, and we will be using the homework in all of Calculus I this winter, serving another 2500 students per year. Once this is proven successful we will almost certainly extend its use to our entire introductory program, which enrolls over seven thousand students a year. In short, WeBWorK is likely in the next few years to have a significant impact on the education of almost all students who go through a standard mathematics course [here]. Robert Megginson and P. Gavin LaRose, University of Michigan There are more instructor comments at http:/webwork.rochester.edu/webwork-summary.pdf
4 Tutorial 4.1 Login as a student: Use student1 as login name and student1 as password 4.1.1 Problem 1 - example of equation and numerical answers Things to notice: • When you enter an equation your entry is typeset. Enter ( x + 1) ∧ 3 / 10 x in the first entry. Notice the denominator might not be what you expect • Enter x + 1) ∗ 5 – notice that the mismatched parentheses are highlighted • Enter the correct answer as ax + b and also a ( x + b/a -both are accepted. –Each of you has a different a and b because of the randomizing behavior. • Enter the numerical answers: notice that the instructor can require the student to do the calculation or allow webwork to do the numerical calcu-lation for them. 4.1.2 Problem 2 - graph example Things to notice: • Click on the graph for a larger view. • In this example WeBWorK indicates which part of the answer is wrong – this feature can be turned on or off by the instructor.
5
• The problem grade is calculated every time you do a problem. The highest grade is retained.
Figure 1: Logout
4.2 Login as instructor First click logout in the upper left corner and confirm. Then use profa as login and profa as password to login again. As an instructor you will have more options. 4.2.1 Problem 3 - adaptive equation answers Things to notice: • Enter cos(3 x 3 ) or cos(3 x 3 ) + 1 or cos(3 x 3 ) + sin 2 x + cos 2 x – each will be marked correct. • WeBWorK uses numerical sampling – so two functions are equivalent if they agree on 5 random points. The number and domain of the points chosen can be adjusted. This criteria works surprisingly well.
4.2.2 Problem 1 again – view code • Click on problem 1 lower down in the left margin (or navigate to problem 1) • Click on the link “Edit this problem” to open an editor for the code in a new window . • We probably won’t have time to practice tweaking problems, however note the links at the top for obtaining various types of documentation for help.
6
Figure
2:
Figure
Problem
3:
PG
7
links
editor
4.2.3 Problem 4 -answers with units Close the PG editor window to return to problem 1. Then click on the link in the left margin (or otherwise navigate to problem 4). Things to notice: • Enter the answer with units: sqrt ( x ∧ 2 + b ∧ 2) m • Now enter it in centimeters: sqrt ( x ∧ 2 + b ∧ 2)*100 cm • Try some other correct and incorrect answers 4.2.4 Problem 5 - graph problems • The graphic picture is generated “on the fly” as you request the problem. It is slightly different for each student. • This problem is a bit more difficult than you might expect • The instant feedback keeps the student at the task until they get it. • Notice that in this case WeBWorK does not indicate which answer is wrong. • As an instructor you can click the “show correct answer” checkbox to see what WeBWorK thinks is the correct answer. 4.2.5 Problem 6 - interactive problem using javaScript • The student MUST use the Newton quotient to calculate the derivative f 0 ( a ) since there is no formula. • Enter points x near a and click the − − f − → button to calculate f ( x ) • Try some other correct and incorrect answers 4.2.6 Problem 7 - interactive problem using LiteApplet (java applet) by Frank Wattenberg • Move the pointer to obtain (x,y) coordinates • Notice that in order to find the distance the student must also measure the legend on the map in order to calibrate the coordinates. 4.2.7 Problem 9 - uses a java applet to display 3D images (created by Davide Cervone)
8
Figure
4:
.
.
.
Hmwk
9
Editor
4.2.8 Problem 8 - a problem we’ll delete from the homework set • Click on Instructor Tools/Hmwk Sets Editor/Introduction in the left mar-gin. • Find problem number 8 in the list and check the “delete” checkbox • At the bottom of the page click the “force problems to be numbered con-secutively” checkbox • Click the save button. Notice that there are now only 8 problems. • Change the due date and and the answer date at the top of the page. You can copy and paste the format • Click the save button. • Notice that the timezone is still Eastern Daylight Time (EDT). We’ll change that • Click on the “Course configuration” link in the left margin • Enter “Asia/Muscat” as the new timezone and click save. • Finally click the “Homework Sets/ introduction” link in the top left to return to the main homework page. • Notice that the time zones have changed.
Figure 5: Course Configuration Editor
10
Figure 6: Class List Editor
4.2.9 Add a student to the course. • Click “Classlist editor” in the left margin • Click “add < n > student(s)” – you can change the number of students to add to 2 • Click “Take action” button • Fill in the student data. The student’s initial password is the same as the studentID. • Select the sets to be assigned to the student. • Click “Add Students” AT THE BOTTOM of the page.
4.2.10 Change a student to an instructor • Click on the pencil next to future instructor (for example student2 at the bottom of the page). • In the box all the way to the right change the permission level from 0 to 10 • Click the “Save changes” button • Click the “Take action” button
11
